Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle represents the pool. The shaded area represents the 4-foot walkway border around the pool. What is the area of the walkway border, or the shaded region, of this figure in square feet


Two rectangles, one lying completely within the other. The area between the rectangles is shaded. Two adjacent sides of the larger rectangle are labeled sixty feet and forty feet. The shaded area is labeled four foot border.

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

Answer: x=4, y=-2

Step-by-step explanation: 4x+y=14, x-2y=8

4x+y-y=14-y

4x/4=14/4-y/4

x=14-y/4-(2y)(4)/4

4(14-9y)/4=(8)(4)

14-9y-14=32-14

-9y/-9=18/-9

y=-2

(14)-(-2)/4

14+2/4

16/4

4

x=4

x=4, y=-2

Answer:

Solution of given system of equations is: x=4, y=-2 or (4,-2)

Step-by-step explanation:

Solve the equation using substitution

4x+y=14

x-2y=8

Substitution method involves placing value of x or y from one equation to other equation.

We have

[tex]4x+y=14--eq(1)\\x-2y=8--eq(2)\\[/tex]

Finding value of x from equation 2

x-2y=8

x=2y+8

Put this value of x in equation 1

[tex]4x+y=14Put\:x=2y+8\\4(2y+8)+y=14\\8y+32+y=14\\9y=14-32\\9y=-18\\y=\frac{-18}{9}\\y=-2[/tex]

We get y=-2

Now, put value of y into equation 2 to find value of x

[tex]x-2y=8\\x-2(-2)=8\\x+4=8\\x=8-4\\x=4[/tex]

We get x = 4

So, solution of given system of equations is: x=4, y=-2 or (4,-2)

Answer:

B. $4143.50

Step-by-step explanation:

Wendy has purchased condominium and is financing it through the loan. The loan term is for 8 years with an interest rate of 5.65%. The payment at the start of the year 1 is $595,000 * 5.65% = $3344.70. The loan term reached maturity so the payment will increase to 4143.50

Answer:

A

Step-by-step explanation:

0.7 * 1.3= 9.1

Answer:

I believe it is 0.7 and 13.

Step-by-step explanation:

Factors are numbers that are in a multiplication equation, so the choices would have to be multiplied together, showing that C : 0.7 and 13 is the correct answer.

Answer:

1/4

Step-by-step explanation:

1/3 - 1/12 = 4/12 - 1/12 (LCM)

= 3/12

=1/4 (simplified)

Answer:

i think you put the 7.3X2+9.1 then divided it by 8.7 -6.1

Step-by-step explanation:

let me see if i can help you

Answer:

18.1

Step-by-step explanation:

(7.3)2+9.1 / (8.7-6.1)

PEMDAS

Paranthesis first so: 7.3 x 2 = 14.6 , 8.7 - 6.1 = 2.6

So the equation becomes 14.6 + 9.1 / 2.6

Division next since there are no exponents or multiplication: 9.1 / 2.6 = 3.5

Equation becomes 14.6 + 3.5

Addition next: 14.6 + 3.5 = 18.1

Answer:

19

Step-by-step explanation:

Answer:

19

Step by step explanation:

Answer:

(2 × 7 × 13) / (7 × 11) =

((2 × 7 × 13) ÷ 7) / ((7 × 11) ÷ 7) =

(2 × 7 ÷ 7 × 13)/(7 ÷ 7 × 11) =

(2 × 1 × 13)/(1 × 11) =

(2 × 13)/11 =

26/11;

Step-by-step explanation:

Answer:

182/77 is the normal answer

the answer is 26/11 in simplest form

The graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation.

Let be [tex]f(x) = \cot \frac{x}{5}[/tex] the parent function and [tex]g(x) = \frac{1}{4}\cdot \tan x[/tex] the child function. We can obtain the child function by applying the following three steps:

In consequence, the graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation. [tex]\blacksquare[/tex]

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Answer: first is stretched horizontally, second is compressed vertically

Step-by-step explanation:

Answer:

4/24

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{1*4}{6*4}=\frac{4}{24}[/tex]

Answer: watter bottle : $1.61

Flashlight : $3.20

Step-by-step explanation:

Answer:

A chair costs $2.50 each and a table costs $6 each.

Step by Step Explanation:

First, let's break this down to two equations.

Equation 1: 2c + 5t = 35

Equation 2: 8c + 5t = 38

Let's first solve for "t" (tables) by modifying Equation 1 so that it has the same number of chairs as Equation 2.

To do that, we must times the equation by 4, so:

4(2c + 5t = 35) -> 8c + 20t = 140.

So now the two equations we have are:

1: 8c + 20t = 140

2: 8c + 3t = 38

Now that they have the same number of chairs (8c), we can subtract Equation 2 from Equation 1, and that gets us the following:

17t = 102

t = 102 / 7 = 6.

Therefore, a table costs $6.00 to rent.

Knowing this, we can use either equation to now find "c". Let's use Equation 1.

2c + 5(6) = 35

2c + 30 = 35

2c = 5

c = 5 / 2 = 2.5

So now we know each chair costs $2.50 to rent. Let's use Equation 2 to confirm both the costs of the table and the chair.

8(2.5) + 3(6) = 38

20 + 18 = 38

38 = 38.

Therefore, each chair costs $2.50 and each table costs $6.

9514 1404 393

Answer:

  no, the triangles are not similar

Step-by-step explanation:

The given ratios tell you corresponding side ratios are ...

  ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6

  AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7

Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.

Answer:

The variance of this distribution is 42353.2

Step-by-step explanation:

For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

In this question:

226977 visitors, so [tex]n = 226977[/tex]

56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]

Then

[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]

The variance of this distribution is 42353.2

Answer:

34.5 minutes

Step-by-step explanation:

Answer:21.88

Step-by-step explanation:

Answer:

The answer is 2  1/2

Step-by-step explanation:

First you turn 3 3/4 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator = 4x3=12 +3=15/4.

Then you turn 1 1/2 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator =2x1+1=3/2

15/4 divided by 3/2 but get your answer you have to reverse 3/2 into 2/3 and you multiply instead of dividing .

15/4 x 2/3 =15 x2 = 30 , 4x3=12  so your answer will be 30/12 but it can be simplified because they are both multiple of 6 . So , 30 divided by 6 = 5 and 12 divided by 6 = 2 so then you answer is 5/2 but it is an improper fraction so you divide 5 by 2 and you get 2 and a remainder of 1/2=2 1/2

she could buy atleast 8, 15 dollar video games

Step-by-step explanation:

240 -120(for her bank)

then you'll b left w 120

divide 120 by 15 and get 8

Answer:636

Step-by-step explanation: I just kno

Answer:

22

Step-by-step explanation:

17+5

Answer:

you have a whiz problem   LOL

Step-by-step explanation:

Answer:

i will be at small table bcz i will get more pizza there

Answer:

A

C

D

F

G

Step-by-step explanation:

You can pretty easily find the answer by just going through each statement and analyzing what it means.  For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel.  This could be correct.  The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question.  We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees)  This answer choice is incorrect.  Next up we have BPC and APD and it asks whether or not they are congruent.  We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent.  This means C is also a correct option.  Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent.  This answer choice is correct also.  Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from.  AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram.  This IS a correct choice.  Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question.  Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC.  These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes.  G is also a correct answer.  Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles.  Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other.  Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct.  This leaves A,C,D,F, and G as the correct answers.

The domain of the function is 0 ≤ x ≤ ∞.

Option 3 is correct

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

As per the given data:

The function is y = √x

Square root is not defined to for negative values. For negative values, the answer of square root is a complex number which is not in real domain.

So any such values, for which the expression is not defined, are not in the domain. So the domain of the square root of x will be all real numbers greater than or equal to 0.

Hence, the domain of the function is 0 ≤ x ≤ ∞

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Answer:C

Step-by-step explanation:

That’s most likely the answer